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A077776 Palindromic wing primes (a.k.a. near-repdigit palindromes) of the form (10^a(n)-1)-8*10^[ a(n)/2 ]. 1
3, 11, 27, 87, 339, 363, 3159, 36155, 45305 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Prime versus probable prime status and proofs are given in the author's table.

REFERENCES

C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.

LINKS

Patrick De Geest, World!Of Numbers, Palindromic Wing Primes (PWP's)

Makoto Kamada, Prime numbers of the form 99...99199...99

Index entries for primes involving repunits.

FORMULA

a(n) = 2*A183184(n)+1.

EXAMPLE

a(n)=27 -> (10^27-1)-8*10^13 = 999999999999919999999999999.

MATHEMATICA

Do[ If[ PrimeQ[10^n - 8*10^Floor[n/2] - 1], Print[n]], {n, 3, 1000, 2}] (from Robert G. Wilson v (rgwv(at)rgwv.com), Dec 16 2005)

CROSSREFS

Cf. A004023, A077775-A077798, A107123-A107127, A107648, A107649, A115073, A183174-A183187.

Sequence in context: A147157 A146826 A059400 * A113836 A036571 A003060

Adjacent sequences:  A077773 A077774 A077775 * A077777 A077778 A077779

KEYWORD

more,nonn,base

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Nov 16 2002.

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Last modified February 12 18:43 EST 2012. Contains 205432 sequences.